The total energy of a typical closed system is given by \(E=25+155 T+0.07 T^{2}\) in Joules. The amount of heat absorbed by the system can be expressed as \(Q=3500+9 T\) in Joules. Estimate the work done during the processes in which the temperature rises from \(350 \mathrm{~K}\) to \(700 \mathrm{~K}\).